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Finding the Third Proportional to 242,456.06 and 526,880.25

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Solution

The third proportional to 242,456.06 and 526,880.25 is: 1,144,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,456.06 : 526,880.25 = 526,880.25 : x
  2. Step 2: Convert to fraction form
    242,456.06/526,880.25 = 526,880.25/x
  3. Step 3: Cross multiply
    242,456.06x = 526,880.25 × 526,880.25
  4. Step 4: Simplify right side
    242,456.06x = 277,602,797,840.06
  5. Step 5: Solve for x
    x = 277,602,797,840.06/242,456.06
  6. Step 6: Final answer
    x = 1,144,961.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.